Jett Little 12/5/17 6:38 PM Section H-Statistics 250-Fall 2017 Submit Quiz Time

Question

Jett Little 12/5/17 6:38 PM Section H-Statistics 250-Fall 2017 Submit Quiz Time Remaining: 01:22:30 Quiz: Chapter 10 Review Quiz This Quiz: 5 pts possible 2015(1 complete) This Question: 1 pt policios that are intended to reduce the amount of Suppose the mean wait-time for a telephone reservation time an agent needs to spend with each customer. A random sample of 250 customers results in a 4 2 seconds.Using :0 05 level ot sagnficance, do you believe the new poices were effective in reducng having to wait too long for an agent To address this concern, the sample mean wait time of 41.3 seconds with a standard deviation af any practical wat tme Do you think the results have 13 significance? 4-1264] (Round to two decimal places as needed ) Calculate the P-value (Round to three decimal places as needed ) State the conclusion for the test B. Do not reect Ho because the P vlsneis tess than tho a 0 05 loveil of sipnicance oc. Repoctn because p.value is lessthan the -o05 level of sgnfcance A. Do not rend H0 because the P-Value is greater man te ·005 level of signkance OD. Repot no because the p-val" s greateryan the -o05 level of

Explanation / Answer

H0 : 42 sec

Ha : < 42 sec

Here sample mean x = 41.3 sec

Sample standard deviation s = 4.2 sec

standard erro of sample mean = s/ sqrt(n) = 4.2/ sqrt(250) = 0.2656 sec

Here test statistic

t = (x - 42)/ 0.2656 = (41.3 - 42)/ 0.2656 = -2.64

P- value = Pr(t > 2.64; 249; one tailed) = 0.0044

We will reject H0 because the p - value is less than the alpha level of 0.05. Option C is correct.

There is sufficient evidence.

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